Top answers

Maths
All levels

y=e^2x-11e^x+24 Find the stationary point, nature of the stationary point, the x-intercepts and the y-intercept (calculator allowed)

Stationary point:
dy/dx = 2e^2x - 11e^x =0
2e^2x = 11e^x
e^x=5.5 (can divide by e^x since e^x > 0 for all x)
x=ln(5.5), y=5.5^2-115.5+24=-6.25
Answer:

AJ
Answered by Asmita J. Maths tutor
2993 Views

In Topic 5 (Statistics and Probability) what is the difference between mutually exclusive events and independent events?

Put simply, mutually exclusive events cannot occur at the same time, e.g when tossing a coin, the result can either be heads or tails but cannot be both. Independence of events means the occurrence of one...

MS
Answered by Meghna S. Maths tutor
1836 Views

What is the gradient of this curve y=5x^3+6x^2+7x+8 at point x=3?

When differentiating an equation (y) you find the equation of the gradient, called dy/dx. The rule for differentiating a power of x is given below:y=x^n dy/dx= nx^(n-1)Applying this rule to this question ...

TD
Answered by Tutor179115 D. Maths tutor
4237 Views

A circle has equation x^2+y^2+6x+10y-7=0. Find the equation of the tangent line through the point on the circle (-8,-1).

The circle can be written (x+3)2+(y+5)^2 = 41 and so has center (-3,-5).
The gradient through the center and the point (-8,-1) is;m = (-5+1)/(-3+8) = -4/5.
The tangent line is perpend...

RL
Answered by Rhianna L. Maths tutor
1056 Views

Solve the equation (2x-1)/3 + (x+2)/2 +x/6 = 8

The first thing you want to do is to get rid of the fractions,Multiplying everything by 6 will help you do this You must multiply every fraction by 6 and also everything you do to the left hand side...

NM
Answered by Niamh M. Maths tutor
5355 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences